Convert Square Arcminute to Millisteradian
Enter the number of square arcminutes that you want to convert to millisteradians.
How to Convert Square Arcminutes to Millisteradians
The square arcminute and millisteradian are both units of solid angle. 1 millisteradian equals 11818.109835 square arcminutes. This means to convert square arcminutes to millisteradians, you divide by 11818.109835.
Formula
Step-by-Step Example
Convert 5 arcmin² to millisteradians:
We need to convert square arcminutes to millisteradians
Since 1 msr = 11818.109835 arcmin², divide by 11818.109835
5 ÷ 11818.109835 = 0.0004230795
5 arcmin² = 0.0004230795 msr
Square Arcminute to Millisteradian Conversion Table
Quick reference table for common square arcminute to millisteradian conversions. Click any value for detailed calculation.
| Square Arcminutes (arcmin²) | Millisteradians (msr) |
|---|---|
| 0.1 arcmin² | 8.46159e-6 msr |
| 0.5 arcmin² | 4.230795e-5 msr |
| 1 arcmin² | 8.46159e-5 msr |
| 2 arcmin² | 0.0001692318 msr |
| 5 arcmin² | 0.0004230795 msr |
| 10 arcmin² | 0.000846159 msr |
| 25 arcmin² | 0.0021153975 msr |
| 50 arcmin² | 0.004230795 msr |
| 100 arcmin² | 0.00846159 msr |
About These Units
Square Arcminute (arcmin²)
A square arcminute equals (1/60)² of a square degree or about 8.46×10⁻⁸ steradians. One square degree = 3,600 square arcminutes. Used for small astronomical fields: nebula sizes, galaxy images, and detector pixel scales. Full Moon ≈ 720 arcmin².
Millisteradian (msr)
A millisteradian (msr) equals 0.001 steradians or about 3.28 square degrees. Used in radiometry, photometry, and light source specifications. LED beam angle calculations, radiation detector acceptance angles, and luminous intensity measurements use millisteradians.
Frequently Asked Questions
How do I convert square arcminutes to millisteradians?
To convert square arcminutes to millisteradians, divide the value by 11818.109835. For example, 10 arcmin² = 0.000846159 msr.
How many millisteradians are in 1 square arcminute?
1 square arcminute equals 8.46159e-5 millisteradians.
What is the formula for square arcminutes to millisteradians?
The formula is: msr = arcmin² ÷ 11818.109835.